Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 noun mathematics (of a subset) the
least element of the containing set that isgreater orequal to all elements of the subset. The supremum may or may not be a member of the subset.
Etymologies
Sorry, no etymologies found.
Support
Help support Wordnik (and make this page adfree) by adopting the word supremum.
Examples

We call the supremum the join and the infimum the meet of the elements a
Citizendium, the Citizens' Compendium  Recent changes [en] 2009

The least upper bound is also sometimes called the "supremum", abbreviated "sup".

A '' supremum '' for '' S '' is an upper bound which is less than or equal to any other upper bound for '' S ''; an '' infimum '' is a lower bound for '' S '' which is greater than or equal to any other lower bound for '' S ''.
Citizendium, the Citizens' Compendium  Recent changes [en] 2009

A '' supremum '' for '' S '' is an upper bound which is less than or equal to any other upper bound for '' S ''; an '' infimum '' is a lower bound for '' S '' which is greater than or equal to any other lower bound for '' S ''.
Citizendium, the Citizens' Compendium  Recent changes [en] 2008

A '' supremum '' for '' S '' is an upper bound which is less than or equal to any other upper bound for '' S ''; an '' infimum '' is a lower bound for '' S '' which is greater than or equal to any other lower bound for '' S ''.
Citizendium, the Citizens' Compendium  Recent changes [en] 2008

The use of the word “super” is derived from the same root as “supremum”, which for a given set refers to the “least upper bound” of the set, or basically the smallest element that has value greater (in some measurable sense) than every element within the set.

C, that is, provided that the supremum of I is an element of C. (For example, complements of principal ideals are open.) f turns out to be continuous in the usual topological sense, that is, the inverse image of an open set being open, when D and E are taken together with their topologies.
Combinatory Logic Bimbó, Katalin 2008

(D, ¤) into a complete lattice (E, ¤) is said to be continuous when it preserves the supremum of each ideal on
Combinatory Logic Bimbó, Katalin 2008

[4629] Miseriquid luctatiunculis hisce volumus? ecce mors supra caput est, et supremum illud tribunal, ubi et dicta et facta nostra examinanda sunt: Sapiamus!

The last two lines of the second verse stated that the Father had entrusted to Christ, as His right, "absolute dominion over the peoples" Cui iure sceptrum gentium Pater supremum credidit.
Comments
Log in or sign up to get involved in the conversation. It's quick and easy.